Pith Number

pith:RVNN5QMY

pith:2016:RVNN5QMYIZBMUAJVCYIJUECIXZ

not attested not anchored not stored refs pending

Photon Spheres and Sonic Horizons in Black Holes from Supergravity and Other Theories

C.N. Pope, G.W. Gibbons, M. Cvetic

arxiv:1608.02202 v2 · 2016-08-07 · gr-qc · astro-ph.CO · hep-th

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RVNN5QMYIZBMUAJVCYIJUECIXZ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

3 papers in Pith

Quasi-topological Electromagnetism: Dark Energy, Dyonic Black Holes, Stable Photon Spheres and Hidden Electromagnetic Duality

Strong-deflection expansion of the deflection angle near a degenerate photon sphere

Criticality Quenching and Microstructure of Quintessence-AdS Black Holes

Receipt and verification

First computed	2026-05-17T23:47:49.409700Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d5adec1984642ca013516109a1048be557121114b0c2e6ff8e8084de4a83f48

Aliases

arxiv: 1608.02202 · arxiv_version: 1608.02202v2 · doi: 10.48550/arxiv.1608.02202 · pith_short_12: RVNN5QMYIZBM · pith_short_16: RVNN5QMYIZBMUAJV · pith_short_8: RVNN5QMY

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/RVNN5QMYIZBMUAJVCYIJUECIXZ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 8d5adec1984642ca013516109a1048be557121114b0c2e6ff8e8084de4a83f48

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "76fcdd10583b4ec6f4c144a39e9fe2755c30bcbdf2b3dcd11f92df727daa5682",
    "cross_cats_sorted": [
      "astro-ph.CO",
      "hep-th"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "gr-qc",
    "submitted_at": "2016-08-07T10:35:10Z",
    "title_canon_sha256": "e8a40c71570076f383a1d1d15f6bd9f49b916215ec04460203c9e1acc5785179"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02202",
    "kind": "arxiv",
    "version": 2
  }
}